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Popular Functions >

inflection f(x)=x^4-6x^2+8x

Solution

inflection points

f (x) = x^{4} - 6 x^{2} + 8 x

Solution

(- 1, - 13), (1, 3)

Solution steps

f^{''} (x) = 12 x^{2} - 12

Find intervals:

Concave Upward

: - \infty < x < - 1,

Concave Downward

: - 1 < x < 1,

Concave Upward

: 1 < x < \infty

Plug

x = - 1

into

x^{4} - 6 x^{2} + 8 x : - 13

(- 1, - 13)

Plug

x = 1

into

x^{4} - 6 x^{2} + 8 x : 3

(1, 3)

(- 1, - 13), (1, 3)

Graph

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Frequently Asked Questions (FAQ)

What is the inflection f(x)=x^4-6x^2+8x ?
The inflection f(x)=x^4-6x^2+8x is (-1,-13),(1,3)